Mathematical Gauge Theory : With Applications to the Standard Model of Particle Physics

Mark J. D. Hamilton

ISBN 10: 3319684388 / ISBN 13: 9783319684383

Published by Springer, Palgrave Macmillan, 2018

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a detailed exposition of how these concepts are applied in physics, concerning topics such as the Lagrangians of gauge and matter fields, spontaneous symmetry breaking, the Higgs boson and mass generation of gauge bosons and fermions. The book also contains a chapter on advanced and modern topics in particle physics, such as neutrino masses, CP violation and Grand Unification. This carefully written textbook is aimed at graduate students of mathematics and physics. It contains numerous examples and more than 150 exercises, making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of differentiable manifolds and special relativity is required, summarized in the appendix.

Seller Inventory # 9783319684383

Bibliographic Details

• Title: Mathematical Gauge Theory : With Applications to the Standard Model of Particle Physics
• Publisher: Springer, Palgrave Macmillan
• Publication Date: 2018
• Language: English
• ISBN 10: 3319684388
• ISBN 13: 9783319684383
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 37D millimeters 235 millimeters width by 155 millimeters height by 37 millimeters depth
• Weight: 1007 grams

About this title

Synopsis

Explains the Standard Model to students of both mathematics and physics

Covers both the specific gauge theory of the Standard Model and generalizations

Highly accessible and self-contained

About the Author

Mark Hamilton has worked as a lecturer and interim professor at the University of Stuttgart and the Ludwig-Maximilian University of Munich. His research focus lies on geometric topology and mathematical physics, in particular, the differential topology of 4-manifolds and Seiberg-Witten theory.